Bounds for the effective conductivity of random media

Abstract

We formulate the problem of calculating the effective conductivity of a random medium in a suitable manner. Then we obtain upper and lower bounds using variational principles. Some of the bounds depend on the random geometry of the medium while others (like the HashinShtrikman bounds) do not.

W. Kohler and G. Papanicolaou, Some applications of the coherent potential approximation, in Multiple Scattering and Waves in Random Media, edited by Chow, Kohler and Papanicolaou, North Holland, 1981.Google Scholar